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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 |
Vectors II
|
Coordinates in two dimensions
|
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in two dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 221 |
|
| 1 | 2 |
Vectors II
|
Coordinates in three dimensions
|
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in three dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 222 |
|
| 1 | 3-4 |
Vectors II
|
Column vectors
Position vector Unit vectors |
By the end of the
lesson, the learner
should be able to:
Find a displacement and represent it in column vector Calculate the position vector Express vectors in terms of unit vectors |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 223-224 KLB Mathematics Book Three Pg 224 |
|
| 1 | 5 |
Vectors II
|
Unit vectors
|
By the end of the
lesson, the learner
should be able to:
Express vectors in terms of unit vectors |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 226-228 |
|
| 1 | 6 |
Vectors II
|
Magnitude of a vector in three dimensions
|
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 229-230 |
|
| 1 | 7 |
Vectors II
|
Parallel vectors
|
By the end of the
lesson, the learner
should be able to:
Identify parallel vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard
|
KLB Mathematics
Book Three Pg 231-232 |
|
| 2 | 1 |
Vectors II
|
Collinear points
|
By the end of the
lesson, the learner
should be able to:
Show that points are collinear |
Discussions
Solving Demonstrating Explaining |
Geoboard
|
KLB Mathematics
Book Three Pg 232 |
|
| 2 | 2 |
Vectors II
|
Collinear points
|
By the end of the
lesson, the learner
should be able to:
Show that points are collinear |
Discussions
Solving Demonstrating Explaining |
Geoboard
|
KLB Mathematics
Book Three Pg 233-234 |
|
| 2 | 3-4 |
Vectors II
|
Proportion division of a line
Proportion division of a line Proportion division of a line |
By the end of the
lesson, the learner
should be able to:
Divide a line internally in the given ratio Divide a line externally in the given ratio Divide a line internally and externally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 237-238 KLB Mathematics Book Three Pg 238 |
|
| 2 | 5 |
Vectors II
|
Ratio theorem
|
By the end of the
lesson, the learner
should be able to:
Express position vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 240 |
|
| 2 | 6 |
Vectors II
|
Ratio theorem
|
By the end of the
lesson, the learner
should be able to:
Find the position vector |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 242 |
|
| 2 | 7 |
Vectors II
|
Mid-point
|
By the end of the
lesson, the learner
should be able to:
Find the mid-points of the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 243 |
|
| 3 | 1 |
Vectors II
|
Ratio theorem
|
By the end of the
lesson, the learner
should be able to:
Use ratio theorem to find the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 244-245 |
|
| 3 | 2 |
Vectors II
|
Ratio theorem
|
By the end of the
lesson, the learner
should be able to:
Use ratio theorem to find the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 246-248 |
|
| 3 | 3-4 |
Vectors II
|
Applications of vectors
|
By the end of the
lesson, the learner
should be able to:
Use vectors to show the diagonals of a parallelogram Use vectors to show the diagonals of a rectangle |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 248-249 |
|
| 3 | 5 |
Binomial expansion
|
Binomial Expansion up to power four
Pascal |
By the end of the
lesson, the learner
should be able to:
Expand binomial function up to power four Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 256 |
|
| 3 | 6 |
Binomial expansion
|
Pascal
|
By the end of the
lesson, the learner
should be able to:
Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 258-259 |
|
| 3 | 7 |
Binomial expansion
|
Pascal
|
By the end of the
lesson, the learner
should be able to:
Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 258-259 |
|
| 4 | 1 |
Binomial expansion
|
Applications to numerical cases
|
By the end of the
lesson, the learner
should be able to:
Use binomial expansion to solve numerical problems |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 259-260 |
|
| 4 | 2 |
Binomial expansion
|
Applications to numerical cases
|
By the end of the
lesson, the learner
should be able to:
Use binomial expansion to solve numerical problems |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 259-260 |
|
| 4 | 3-4 |
Probability
|
Experimental probability
|
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 262-264 |
|
| 4 | 5 |
Probability
|
Range of probability measure
|
By the end of the
lesson, the learner
should be able to:
Calculate the range of probability measure |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 265-266 |
|
| 4 | 6 |
Probability
|
Probability space
Probability space |
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 266-267 |
|
| 4 | 7 |
Probability
|
Combined events
|
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 272-273 |
|
| 5 | 1 |
Probability
|
Combined events
|
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 273-274 |
|
| 5 | 2 |
Probability
|
Independent events
|
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 274-275 |
|
| 5 | 3-4 |
Probability
|
Independent events
|
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 276-277 KLB Mathematics Book Three Pg 278-280 |
|
| 5 | 5 |
Probability
|
Tree diagrams
|
By the end of the
lesson, the learner
should be able to:
Draw tree diagrams to show the probability space |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 282 |
|
| 5 | 6 |
Probability
|
Tree diagrams
Tree diagrams |
By the end of the
lesson, the learner
should be able to:
Use tree diagrams to find probability |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 283-285 |
|
| 5 | 7 |
Compound proportions and rate of work
|
Compound proportions
|
By the end of the
lesson, the learner
should be able to:
Find the compound proportions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 288-290 |
|
| 6 | 1 |
Compound proportions and rate of work
|
Compound proportions
|
By the end of the
lesson, the learner
should be able to:
Find the compound proportions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 290-291 |
|
| 6 | 2 |
Compound proportions and rate of work
|
Proportional parts
|
By the end of the
lesson, the learner
should be able to:
Calculate the proportional parts |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 291-293 |
|
| 6 | 3-4 |
Compound proportions and rate of work
|
Rates of work
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 294-295 KLB Mathematics Book Three Pg 295-296 |
|
| 6 | 5 |
Compound proportions and rate of work
|
Rates of work
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 295-296 |
|
| 6 | 6 |
Graphical methods
|
Tables of given relations
|
By the end of the
lesson, the learner
should be able to:
Draw tables of given relations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 299 |
|
| 6 | 7 |
Graphical methods
|
Graphs of given relations
Graphical solution of cubic equations |
By the end of the
lesson, the learner
should be able to:
Draw graphs of given relations Draw tables of cubic functions |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 300 |
|
| 7 |
Midterm Break |
|||||||
| 8 | 1 |
Graphical methods
|
Graphical solution of cubic equations
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 302-304 |
|
| 8 | 2 |
Graphical methods
|
Average rates of change
|
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 304-306 |
|
| 8 | 3-4 |
Graphical methods
|
Rate of change at an instant
Empirical graphs |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant Draw the empirical graphs |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 310-311 KLB Mathematics Book Three Pg 315-316 |
|
| 8 | 5 |
Graphical methods
|
Reduction of non-linear laws to linear form
|
By the end of the
lesson, the learner
should be able to:
Draw the graphs of reduction of non-linear laws to linear form |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 318-321 |
|
| 8 | 6 |
Graphical methods
|
Reduction of non-linear laws to linear form
|
By the end of the
lesson, the learner
should be able to:
Draw the graphs of reduction of non-linear laws to linear form |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 318-321 |
|
| 8 | 7 |
Graphical methods
|
Reduction of non-linear laws to linear form
|
By the end of the
lesson, the learner
should be able to:
Draw the graphs of reduction of non-linear laws to linear form |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph bookss
|
KLB Mathematics
Book Three Pg 318-321 |
|
| 9 | 1 |
Graphical methods
|
Equation of a circle
Equation of a circle |
By the end of the
lesson, the learner
should be able to:
Find the equation of a circle |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 325-326 |
|
| 9 | 2 |
Graphical methods
|
Equation of a circle
|
By the end of the
lesson, the learner
should be able to:
Find the equation of a circle |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 327-328 |
|
| 9 | 3-4 |
Matrices and
Transformation
|
Transformation on a
Cartesian plane
Identification of transformation matrix |
By the end of the
lesson, the learner
should be able to:
Relate image and objects under a given transformation on the Cartesian plane Determine the matrix of a transformation |
Drawing objects and their images on Cartesian plane Practice Ex 1.1 P5 Practice exercise KLB EX 1.2 and 1.3 |
Square boards Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 1-3 - KLB Pg 1-6 - K.M, Advancing in Math F4 Pg 3-9 - KLB Pg 6-16 |
|
| 9 | 5 |
Matrices and
Transformation
|
Successive
transformation
|
By the end of the
lesson, the learner
should be able to:
Perform successive transformation |
Drawing objects and its successive images KLB Ex 1.4 |
Square boards Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 15-17 - KLB Pg 16-24 |
|
| 9 | 6 |
Matrices and
Transformation
|
Successive
transformation
|
By the end of the
lesson, the learner
should be able to:
Perform successive transformation |
Drawing objects and its successive images KLB Ex 1.4 |
Square boards Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 15-17 - KLB Pg 16-24 |
|
| 9 | 7 |
Matrices and
Transformation
|
Single matrix of
transformation for
successive transformation
|
By the end of the
lesson, the learner
should be able to:
Determine and identify a single matrix for successive transformation |
Drawing objects and its successive images KLB Ex 1.4 |
Square boards Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 15-17 - KLB Pg 21 |
|
| 10 | 1 |
Matrices and
Transformation
|
Relate Identity Matrix
and Transformation
Inverse of a matrix area scale factor and determinant of a matrix |
By the end of the
lesson, the learner
should be able to:
Relate identity matrix and transformation Determine the inverse of a |
Practice exercise Ex 1.4
KLB BK 4 Practice exercise Ex 1.5 |
Calculators
|
- K.M, Advancing in
Math F4 Pg 13-14 - KLB Pg 22-24 |
|
| 10 | 2 |
Matrices and
Transformation
|
Area of scale factor
and determinant of a
matrix
|
By the end of the
lesson, the learner
should be able to:
Establish and use the relationship between area scale factor and determinant of a matrix |
Practice exercise Ex 1.5 KLB BK 4 pg 27 |
Boards and strings Peg boards and strings Rubber band Calculators |
- K.M, Advancing in
Math F4 Pg 17-19 - KLB Pg 26-27 |
|
| 10 | 3-4 |
Matrices and
Transformation
|
Shear and stretch
|
By the end of the
lesson, the learner
should be able to:
Determine shear and stretch |
Drawing objects and images under shear and stretch. Ex 1.6 |
Square boards Peg boards and strings Rubber band Calculators |
- K.M, Advancing in
Math F4 Pg 10-13 - KLB Pg 28-34 |
|
| 10 | 5 |
Statistics
|
Ogive
|
By the end of the
lesson, the learner
should be able to:
Use cumulative frequency tables to Draw the ogive |
Drawing cumulative frequency curve (ogive) KLB Pg 4, Ex. 2.2 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 28-29 - KLB Pg 51-52 |
|
| 10 | 6 |
Statistics
|
Ogive
|
By the end of the
lesson, the learner
should be able to:
Use cumulative frequency tables to Draw the ogive |
Drawing cumulative frequency curve (ogive) KLB Pg 4, Ex. 2.2 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 28-29 - KLB Pg 51-52 |
|
| 10 | 7 |
Statistics
|
Median
|
By the end of the
lesson, the learner
should be able to:
Estimate the median and quartiles by Calculations Ogive |
Practice exercise KLB Pg 4, Ex. 2.2 |
Square boards Graph papers Calculators |
- K.M, Advancing in
Math F4 Pg 29-31 - KLB Pg 48 |
|
| 11 | 1 |
Statistics
|
Quartile
|
By the end of the
lesson, the learner
should be able to:
Estimate median and quartiles by Calculations ogive |
Practice exercise KLB Pg 4, Ex. 2.2 |
Square boards Graph papers Calculators |
- K.M, Advancing in
Math F4 Pg 29-31 - KLB Pg 46 |
|
| 11 | 2 |
Statistics
|
Quartile
|
By the end of the
lesson, the learner
should be able to:
Estimate median and quartiles by Calculations ogive |
Practice exercise KLB Pg 4, Ex. 2.2 |
Square boards Graph papers Calculators |
- K.M, Advancing in
Math F4 Pg 29-31 - KLB Pg 46 |
|
| 11 | 3-4 |
Statistics
|
Range- inter quartile
range
Quartile deviation |
By the end of the
lesson, the learner
should be able to:
Define and calculate measure of dispersion-range, quartiles and inter-quartile range Define and calculate measures of dispersion ? quartile deviation |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators |
- K.M, Advancing in
Math F4 Pg 32-33 - KLB BK 4 - K.M, Advancing in Math F4 Pg 34-35 - KLB Bk4 Pg 57-59 |
|
| 11 | 5 |
Statistics
|
Quartile deviation
|
By the end of the
lesson, the learner
should be able to:
Define and calculate measures of dispersion ? quartile deviation |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators |
- K.M, Advancing in
Math F4 Pg 34-35 - KLB Bk4 Pg 57-59 |
|
| 11 | 6 |
Statistics
|
Variance
|
By the end of the
lesson, the learner
should be able to:
Define and calculate measures of Dispersion, variance interpret measure of dispersion |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators |
- K.M, Advancing in
Math F4 Pg 34-35 - KLB Bk4 Pg 57-59 |
|
| 11 | 7 |
Statistics
|
Standard deviation
|
By the end of the
lesson, the learner
should be able to:
- Define and calculate measures of dispersion, standard deviation - Interpret measures of dispersion |
Ex. 2.3 Exams ? CATS |
Calculators |
- K.M, Advancing in
Math F4 Pg 34-39 - KLB Bk4 Pg 60 |
|
| 12 | 1 |
Loci
|
Common types of Loci
|
By the end of the
lesson, the learner
should be able to:
Define locus |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 40-41 - KLB Bk4 Pg 68 |
|
| 12 | 2 |
Loci
|
Common types of Loci
|
By the end of the
lesson, the learner
should be able to:
Define locus |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 40-41 - KLB Bk4 Pg 68 |
|
| 12 | 1-2 |
Loci
|
Common types of Loci
|
By the end of the
lesson, the learner
should be able to:
Define locus |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 40-41 - KLB Bk4 Pg 68 |
|
| 12 | 3-4 |
Loci
|
Perpendicular bisector
Loci
Loci of a point at a given distance from a fixed point and fixed line |
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 40 - KLB Bk4 Pg 69 - K.M, Advancing in Math F4 Pg 40 - KLB Bk4 Pg 70-71 |
|
| 12 | 5 |
Loci
|
Loci of a point at a
given distance from a
fixed point and fixed
line
|
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 40 - KLB Bk4 Pg 70-71 |
|
| 12 | 6 |
Loci
|
Angle bisector
Loci
|
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 41 - KLB Bk4 Pg 71-72 |
|
| 12 | 7 |
Loci
|
Angle bisector
Loci
|
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 41 - KLB Bk4 Pg 71-72 |
|
| 13 | 1 |
Loci
|
Constant angle loci
|
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 42-43 - KLB Bk4 Pg 72-74 |
|
| 13 | 2 |
Loci
|
Constant angle loci
|
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 42-43 - KLB Bk4 Pg 72-74 |
|
| 13 | 3-4 |
Loci
|
Construction:- loci of
the equalities
Loci involving chords |
By the end of the
lesson, the learner
should be able to:
Construct loci Construct loci involving chords |
Involving inequalities Practice exercise KLB Pg 4, Ex. 3.5 |
Geometrical instruments |
- K.M, Advancing in
Math F4 Pg 49 - K.M, Advancing in Math F4 Pg 45-47 - KLB Bk4 Pg 84 |
|
| 13 | 5 |
Loci
|
Loci under given
conditions including
intersecting chords
|
By the end of the
lesson, the learner
should be able to:
Construct loci involving intersecting Loci and under given conditions |
Practice exercise KLB Pg 4, Ex. 3.4 |
Geometrical instruments |
- K.M, Advancing in
Math F4 Pg 47-49 |
|
| 13 | 6 |
Loci
|
Loci under given
conditions including
intersecting chords
|
By the end of the
lesson, the learner
should be able to:
Construct loci involving intersecting Loci and under given conditions |
Practice exercise KLB Pg 4, Ex. 3.4 |
Geometrical instruments |
- K.M, Advancing in
Math F4 Pg 47-49 |
|
| 13 | 7 |
Trigonometry
|
Trigonometric ratios
|
By the end of the
lesson, the learner
should be able to:
Recall and define trigonometric ratios |
Practice exercise KLB Pg 4, Ex. 4.1 Advancing BK 4, Ex. 4.1 |
Chart illustrating Trigonometric ratios |
- K.M, Advancing in
Math F4 Pg 51-53 - KLB Bk4 Pg 90-93 |
|
| 14 |
Exams |
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